| |
| |
|
Edges |
Faces |
Symbol |
Vertex configuration |
|
 |
4 |
|
4 |
{3, 3} |
3.3.3 |
|
 |
8 |
12 |
6 |
{4, 3} |
4.4.4 |
|
 |
6 |
12 |
8 |
{3, 4} |
3.3.3.3 |
|
 |
12 |
30 |
20 |
{3, 5} |
3.3.3.3.3 |
|
 |
20 |
30 |
12 |
|
5.5.5 |
The Platonic Solids are the set of five solid forms having the properties that each is convex (ball-like) and composed of identical regular polygons, with each vertex alike. Each of the platonic solids fits neatly within a sphere, with all vertices touching the sphere. Similarly, a sphere can be fit within each solid in such a way that the sphere would touch each face of the platonic solid (plate 4).
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